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Finding the Third Proportional to 16,184.81 and 34,298.44

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Solution

The third proportional to 16,184.81 and 34,298.44 is: 72,684.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,184.81 : 34,298.44 = 34,298.44 : x
  2. Step 2: Convert to fraction form
    16,184.81/34,298.44 = 34,298.44/x
  3. Step 3: Cross multiply
    16,184.81x = 34,298.44 × 34,298.44
  4. Step 4: Simplify right side
    16,184.81x = 1,176,382,814.94
  5. Step 5: Solve for x
    x = 1,176,382,814.94/16,184.81
  6. Step 6: Final answer
    x = 72,684.36

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.